Search our library of Maths questions

Top answers

Maths

All levels

Solve the equation (2x-1)/3 + (x+2)/2 +x/6 = 8

The first thing you want to do is to get rid of the fractions,Multiplying everything by 6 will help you do this You must multiply every fraction by 6 and also everything you do to the left hand side...

Answered by Niamh M. • Maths tutor

5795 Views

given that f(x) = x^4 + 2x, find f'(x)

This is a simple differentiation question where we just differentiate by taking the power of the x and bringing that in front as a constant and then taking 1 off the power. So for the first term, x^4, we ...

Answered by Sheheryar F. • Maths tutor

4518 Views

A curve has an equation y=3x-2x^2-x^3. Find the x-coordinate(s) of the stationary point(s) of the curve.

The very first step in solving this problem is understanding that a stationary point is where the derivative of the curve, dy/dx (or in Newton’s notation y’), is equal to zero. This is because at stationa...

Answered by Callum G. • Maths tutor

5105 Views

Use the quotient rule to differentiate: ln(3x)/(e^4x) with respect to x.

Quotient rule: d(u/v)/dx = [(du/dx)v-u(dv/dx)]/v^2
u = ln(3x)
v = e^4x
Find du/dx using chain rule:
u = ln(z) ==> du/dz = 1/z
z = 3x ==> dz/dx = 3
(du/dz)(dz/dx) = ...

Answered by Henry T. • Maths tutor

4365 Views